Ficitious time integration method for solving the time fractional gas dynamics equation

In this work a poweful approach is presented to solve the time-fractional gas dynamics equation. In fact, we use a fictitious time variable y to convert the dependent variable w(x, t) into a new one with one more dimension. Then by taking a initial guess and implementing the group preserving scheme we solve the problem. Finally four examples are solved to illustrate the power of the offered method.

Numerical Solution of Time Fractional Gas Dynamics Equation

In this paper, we propose new technique for solving time fractional gas dynamics equation using Laplace-Adomian Decomposition method coupled with fractional complex transform. It is found that the tested examples reveal the present method is more reliable and does not require strong assumptions.